3085221888000 has 1728 divisors, whose sum is σ = 13184324899200. Its totient is φ = 693633024000.

The previous prime is 3085221887999. The next prime is 3085221888031. The reversal of 3085221888000 is 8881225803.

3085221888000 is a `hidden beast` number, since 30 + 8 + 522 + 18 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50577407970 + ... + 50577408030.

It is an arithmetic number, because the mean of its divisors is an integer number (7629817650).

Almost surely, 2^{3085221888000} is an apocalyptic number.

3085221888000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085221888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592162449600).

3085221888000 is an abundant number, since it is smaller than the sum of its proper divisors (10099103011200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3085221888000 is an frugal number, since it uses more digits than its factorization.

3085221888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 3085221888000 in words is "three trillion, eighty-five billion, two hundred twenty-one million, eight hundred eighty-eight thousand".